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The "catastrophe" in solving the Dirac equation for an electron in the field of a point electric charge, which emerges for the charge numbers Z > 137, is removed in this work by effective accounting of finite dimensions of nuclei. For this…

General Physics · Physics 2017-08-23 V. P. Neznamov , I. I. Safronov

Different saturation properties of cold symmetric nuclear matter in the strong magnetic field have been considered. We have seen that for magnetic fields about $B> 3 \times 10 ^ {17}\ G$, {for both cases with and without nucleon anomalous…

Nuclear Theory · Physics 2016-06-22 Z. Rezaei , G. H. Bordbar

We present a simple derivation of the nuclear shielding in paramagnetic molecules, extendable to strong spin-orbit coupling cases of relevance to lanthanides and actinides, as well as encompassing contributions from excited multiplets.…

Chemical Physics · Physics 2019-05-01 Juha Vaara , Syed Awais Rouf , Jiří Mareš

Lattice QCD with background magnetic fields is used to calculate the magnetic moments and magnetic polarizabilities of the nucleons and of light nuclei with $A\le4$, along with the cross-section for the $M1$ transition $np\rightarrow…

High Energy Physics - Lattice · Physics 2015-12-16 Emmanuel Chang , William Detmold , Kostas Orginos , Assumpta Parreno , Martin J. Savage , Brian C. Tiburzi , Silas R. Beane

It is shown that the equation of state of nuclear matter can be determined within the mean-field theory of $\sigma \omega$ model provided only that the nucleon effective mass curve is given. We use a family of the possible nucleon effective…

Nuclear Theory · Physics 2008-11-26 Jae Hwang Lee , Young Jae Lee , Suk-Joon Lee

The second-order Stark effect for a planar Dirac one-electron atom in the ground state is analyzed within the framework of the Rayleigh-Schr\"odinger perturbation theory, with the use of the Sturmian series expansion of the generalized…

Quantum Physics · Physics 2018-10-24 Radosław Szmytkowski

This work presents the computation of nuclear magnetic shielding and magnetizability tensors for paramagnetic molecules, using a magnetically induced current density framework to account for orbital and spin contributions. We demonstrate…

Quantum Physics · Physics 2026-03-26 Francesco Ferdinando Summa , Sonia Coriani , Andre Severo Pereira Gomes

According to the Schiff theorem an external electric field vanishes at atomic nucleus in a neutral atom, i.e. it is completely shielded by electrons. This makes a nuclear electric dipole moment (EDM) unobservable. In this paper an extension…

Atomic Physics · Physics 2018-10-10 V. V. Flambaum

The properties of nuclear matter in the presence of a strong magnetic field, including the density-dependent symmetry energy, the chemical composition and spin polarizations, are investigated in the framework of the relativistic mean field…

Nuclear Theory · Physics 2013-01-18 Jianmin Dong , Umberto Lombardo , Wei Zuo , Hongfei Zhang

We consider a Dirac electron in the presence of an exponentially decaying magnetic field. We obtain exact energy eigenvalues with a zero-energy state and the corresponding eigenfunctions. We also calculate the probability density and…

Mesoscale and Nanoscale Physics · Physics 2009-12-01 Tarun Kanti Ghosh

We consider a model of 1D relativistic hydrogen-like atom, formed by a Coulomb impurity in graphene nanoribbon. Describing the electron motion in terms of the one-dimensional Dirac equation for Coulomb potential taking into account the…

Mesoscale and Nanoscale Physics · Physics 2026-05-12 S. Z. Rakhmanov , K. P. Matchonov , A. K. Rakhimov , D. U. Matrasulov

We studied the dynamic nuclear spin polarization of nitrogen in negatively charged nitrogen-vacancy (NV) centers in diamond both experimentally and theoretically over a wide range of magnetic fields from 0 to 1100 G covering both the…

Quantum Physics · Physics 2021-01-04 Laima Busaite , Reinis Lazda , Andris Berzins , Marcis Auzinsh , Ruvin Ferber , Florian Gahbauer

The derivation of leading quantum electrodynamic corrections to the nuclear magnetic shielding in light hydrogen- and helium-like atomic systems is described in detail. The presented theoretical approach applies to any light atomic and…

Atomic Physics · Physics 2022-04-06 Dominik Wehrli , Mariusz Puchalski , Krzysztof Pachucki

The nuclear magnetic relaxation in scandium metal is investigated at liquid helium temeprature for both single crystal and powder samples. The obtained temperature and field dependence of the Korringa constant are described by the means of…

Background: The isotropic harmonic oscillator supplemented by a strong spin-orbit interaction has been the cornerstone of nuclear structure since its inception more than seven decades ago. In this paper we introduce---or rather…

Nuclear Theory · Physics 2020-11-11 Junjie Yang , J. Piekarewicz

We derive model-independent, "naturalness" upper bounds on the magnetic moments \mu_\nu of Dirac neutrinos generated by physics above the scale of electroweak symmetry breaking. In the absence of fine-tuning of effective operator…

High Energy Physics - Phenomenology · Physics 2009-11-11 Nicole F. Bell , Vincenzo Cirigliano , Michael J. Ramsey-Musolf , Petr Vogel , Mark B. Wise

We derive the equation of state of nuclear matter including vacuum polarization effects arising from the nucleons and the sigma mesons in the quark-meson coupling model which incorporates explicitly quark degrees of freedom with quark…

Nuclear Theory · Physics 2009-11-07 P. K. Panda , F. L. Braghin

We reconsider the Dirac-Foldy contribution $\mu^2/m$ to the neutron electric polarizability. Using a Dirac equation approach to neutron-nucleus scattering, we review the definitions of Compton continuum ($\bar{\alpha}$), classical static…

Nuclear Theory · Physics 2008-11-26 M. Bawin , S. A. Coon

Nuclear spin memories of divalent neutral atoms can allow spin-preserving resolved-sideband cooling in a strong magnetic field [Phys. Rev. Lett. 99, 123001 (2007)]. We present a theory for cooling $^{87}$Sr nuclear-spin qubits in a weak…

Quantum Physics · Physics 2023-12-12 Xiao-Feng Shi

The electric dipole polarizability $\alpha_D$ and the neutron skin thickness $\Delta R_{np}$ of $^{208}\mathrm{Pb}$ are two powerful and clean probes to constrain the symmetry energy at subsaturation density. Within the framework of the…

Nuclear Theory · Physics 2026-02-24 Dandan Niu , Xinyu Wang , Ying Cui , Qiang Zhao , Kai Zhao , Akira Ono , Yingxun Zhang